2555936468190 has 384 divisors, whose sum is σ = 8611223961600. Its totient is φ = 512323004160.

The previous prime is 2555936468101. The next prime is 2555936468191. The reversal of 2555936468190 is 918646395552.

2555936468190 is a `hidden beast` number, since 2 + 5 + 5 + 59 + 36 + 468 + 1 + 90 = 666.

It is a super-2 number, since 2×2555936468190² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555936468191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8384871 + ... + 8684349.

It is an arithmetic number, because the mean of its divisors is an integer number (22425062400).

Almost surely, 2^{2555936468190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555936468190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305611980800).

2555936468190 is an abundant number, since it is smaller than the sum of its proper divisors (6055287493410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2555936468190 is a wasteful number, since it uses less digits than its factorization.

2555936468190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299572 (or 299569 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 2555936468190 in words is "two trillion, five hundred fifty-five billion, nine hundred thirty-six million, four hundred sixty-eight thousand, one hundred ninety".